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Finding the Third Proportional to 450,134 and 983,916

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Solution

The third proportional to 450,134 and 983,916 is: 2,150,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,134 : 983,916 = 983,916 : x
  2. Step 2: Convert to fraction form
    450,134/983,916 = 983,916/x
  3. Step 3: Cross multiply
    450,134x = 983,916 × 983,916
  4. Step 4: Simplify right side
    450,134x = 968,090,695,056
  5. Step 5: Solve for x
    x = 968,090,695,056/450,134
  6. Step 6: Final answer
    x = 2,150,672.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.